tailieunhanh - Awa practise 9

Tham khảo tài liệu 'awa practise 9', ngoại ngữ, anh ngữ phổ thông phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | ----------------------------------- ARITHMETIC --------------------------------------- When problems arise that involve even and odd numbers you can use substitution to help remember the patterns and make the problems easier to solve. Consecutive Integers Consecutive integers are integers listed in numerical order that differ by 1. An example of three consecutive integers is 3 4 and 5 or -11 -10 and -9. Consecutive even integers are numbers like 10 12 and 14 or -22 -20 and -18. Consecutive odd integers are numbers like 7 9 and 11. When they are used in word problems it is often useful to define them as x x 1 x 2 and so on for regular consecutive integers and x x 2 and x 4 for even or odd consecutive integers. Note that both even and odd consecutive integers have the same algebraic representation. Absolute Value The absolute value of a number is the distance a number is away from zero on a number line. The symbol for absolute value is two bars surrounding the number or expression. Absolute value is always positive because it is a measure of distance. 4 4 because 4 is four units from zero on a number line. -3 3 because -3 is three units from zero on a number line. Operations with Real Numbers For the quantitative exam you will need to know how to perform basic operations with real numbers. Integers This is the set of whole numbers and their opposites also known as signed numbers. Since negatives are involved here are some helpful rules to follow. Adding and Subtracting Integers 1. If you are adding and the signs are the same add the absolute value of the numbers and keep the sign. a. 3 4 7 b. -2 -13 -15 2. If you are adding and the signs are different subtract the absolute value of the numbers and take the sign of the number with the larger absolute value. a. -5 8 3 b. 10 -14 -4 328 -------------------------------------- ARITHMETIC ------------------------------------------ 3. If you are subtracting change the subtraction sign to addition and change the sign of the .